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Efficient Integral Equation Solution Of Electromagnetic Scattering By Arbitrarily Shaped Objects In Planar Multilayered Media
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Book Synopsis Efficient Integral Equation Solution of Electromagnetic Scattering by Arbitrarily Shaped Objects in Planar, Multilayered Media by : David Bedford Webb
Download or read book Efficient Integral Equation Solution of Electromagnetic Scattering by Arbitrarily Shaped Objects in Planar, Multilayered Media written by David Bedford Webb and published by . This book was released on 1995 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: The solution of electromagnetic scattering by objects located in planar, multilayered media has long been the subject of active research. For layered-media integral equation solutions via the Method of Moments (MoM), the O($Nsp2$) matrix fill is often prohibitively expensive, even for problems of moderate size. For spatial-domain formulations, this is due to the presence of the Sommerfeld integrals required for obtaining the Green's functions in spatial form. These integrals are completely avoided through use of the complex-image method, which represents the spatial-domain Green's functions in closed form. However, this method is not without limitations, most notably a finite region of validity and an undesirable sensitivity to the choice of requisite parameters. This thesis focuses on methods for overcoming these limitations, to allow robust implementation of the method within the framework of an automated, general-purpose analysis program, applicable to the solution of scattering from arbitrarily shaped objects residing in any number of dielectric layers. Evaluations of several possible improvements to the original complex-image method are presented. A new approach is also presented for representing the angular-dependent Green's function terms that are required when both horizontal and vertical electric currents are present. The complex-image method is applied in this work to the MoM solution of the mixed-potential form of the electric field integral equation (MPIE). Several numerical results are presented for planar and nonplanar objects, including a microstrip patch antenna, wire dipole antennas penetrating dielectric half-spaces, and a microstrip air bridge. These results are compared with measurements or the results from other programs whenever possible. A brief discussion of scattering parameter extraction is also covered, with a comparison of the Prony and Generalized Pencil-of-Functions (GPOF) methods.
Book Synopsis Efficient Solution of Maxwell's Equations Using the Nonuniform Orthogonal Finite Difference Time Domain Method by : John Allan Svigelj
Download or read book Efficient Solution of Maxwell's Equations Using the Nonuniform Orthogonal Finite Difference Time Domain Method written by John Allan Svigelj and published by . This book was released on 1995 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Finite Difference Time Domain (FDTD) method is limited by memory requirements and computation time when applied to large problems, complicated geometries, or geometries with fine features. In this thesis, the nonuniform orthogonal FDTD method is presented and applied to a variety of electromagnetic problems. The nonuniform aspect of the method gives great flexibility in modeling complicated geometries with fine features. Furthermore, the variability of the mesh resolution also enables the user to move the boundaries of the computational domain farther away from the center of the problem without an undue increase in the number of cells. Most significantly, the orthogonality of the method preserves the speed of the conventional FDTD method. These three features of the nonuniform orthogonal FDTD method are demonstrated by means of numerical examples throughout the thesis. Grid dispersion error from the nonuniform mesh is analyzed and numerical examples are presented, demonstrating that small growth rates in mesh discretization lead to acceptably small errors. The issue of absorbing boundary conditions is addressed with the analysis and application of the dispersive boundary condition on nonuniform meshes. New techniques are also introduced for the efficient characterization of microstrip lines, microstrip discontinuities, and coupled microstrip structures using FDTD data. A local mesh refinement technique is introduced for planar perfect electric conductor, and is shown to be three times more accurate than the staircasing approximation. The versatility of the method is demonstrated by the analysis of a balun-fed folded dipole antenna, the characterization of the transition of grounded coplanar waveguide to microstrip line, and the study of fields in lossy layered media.
Book Synopsis Electromagnetic Scattering by Surface of Arbitrary Shape by : Donald R. Wilton
Download or read book Electromagnetic Scattering by Surface of Arbitrary Shape written by Donald R. Wilton and published by . This book was released on 1980 with total page 68 pages. Available in PDF, EPUB and Kindle. Book excerpt: The electric field integral equation (EFIE) is used with the moment to develop a simple and efficient numerical procedure for treating problems of scattering by arbitrarily-shaped objects. The objects are modeled for numerical purposes by planar triangular surface patch models. Because the EFIE formulation is used, the procedure is applicable to both open and closed bodies. Crucial to the formulation is development of a set of special subdomain basis functions defined on pairs of adjacent triangular patches. The basis functions yield a current representation which is free of line or point charges at subdomain boundaries. A second approach using the magnetic field integral equation (MFIE) and employing the same basis functions is also developed. Although the MFIE applies only to closed bodies, the moment matrix of the MFIE is also needed in dielectric scattering problems and in the so-called combined field integral equation used to eliminate difficulties with internal resonances present in the MFIE and EFIE formulations. The EFIE approach is applied to the scattering problems of plane wave illumination of a flat square plate, a bent square plate, a circular disk, and a sphere. Comparisons of surface current densities are made with previous computations or exact formulations and good agreement is obtained in each case. The MFIE approach is also applied to the sphere and reasonable agreement with exact calculations is obtained.
Book Synopsis Analysis and Numerical Solution of an Integral Equation Method for Electromagnetic Scattering from a Cavity in a Ground Plane by : Eric T. Howe
Download or read book Analysis and Numerical Solution of an Integral Equation Method for Electromagnetic Scattering from a Cavity in a Ground Plane written by Eric T. Howe and published by . This book was released on 2001-09-01 with total page 80 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this research the electromagnetic scattering of a plane wave from a two-dimensional cavity embedded in an infinite, perfectly conducting ground plane is investigated. The plane wave is assumed to be under transverse electric (TE) polarization with respect to the x-axis. The cavity may be empty or filled with an arbitrary homogeneous, lossy material. A coupled set of scalar integral equations that govern the electromagnetic scattering is implemented. An approximate solution to the scalar integral equations is found via a Method of Moments (MoM) algorithm. The algorithm is implemented in a computer code, and approximations to the total magnetic field on the cavity surface and aperture as well as the normal derivative of the total magnetic field on the cavity aperture are obtained. These fields are then used to calculate the two-dimensional monostatic RCS signatures of various test cavities. The numerical results from the algorithm are shown to agree well with the RCS signatures calculated by other well-known methods and published results. In addition to being accurate, the algorithm is very computationally efficient. The process results in simply solving a relatively small, well-conditioned matrix system for each incident angle to produce the unknown fields.
Book Synopsis Integral Equations and Iteration Methods in Electromagnetic Scattering by : A. B. Samokhin
Download or read book Integral Equations and Iteration Methods in Electromagnetic Scattering written by A. B. Samokhin and published by VSP. This book was released on 2001 with total page 122 pages. Available in PDF, EPUB and Kindle. Book excerpt: The analysis of scattering of electromagnetic waves in inhomogeneous three-dimensional bounded media is extremely important from both theoretical and practical viewpoints, and constitutes the core family of problems in electromagnetics. In this monograph the following fundamental topics relating to these problems are considered: mathematical problems and methods related to the scattering of electromagnetic waves by inhomogeneous three-dimensional anisotropic bodies and their reduction to volume singular integral equations; iteration techniques for solving linear operator equations; and efficient methods for solving volume integral equations that employ iteration procedures. Nowadays, volume singular integral equations are widely used as an efficient tool of numerical solution to the problems of complicated three-dimensional structures. Analysis of integral equations and corresponding scattering problems, including nonclassical ones, is performed in the general formulation. The necessary and sufficient conditions that provide fulfilment of the Noether property of operators and sufficient conditions for the Fredholm property are obtained. Existence and uniqueness theorems for scattering problems considered in both classical and nonclassical settings are proved. Much attention is given to iteration techniques and development of corresponding computational algorithms. This monograph will be of interest to researchers in electromagnetics, integral equations, iteration methods and numerical analysis both in academia and industry.
Book Synopsis Analysis of Electromagnetic Scattering by Arbitrary Shaped Anisotropic Objects Using Combined Field Surface Integral Equation Formulation by : Benjamin Beker
Download or read book Analysis of Electromagnetic Scattering by Arbitrary Shaped Anisotropic Objects Using Combined Field Surface Integral Equation Formulation written by Benjamin Beker and published by . This book was released on 1988 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Electromagnetic Scattering Analysis of Arbitrarily Shaped Material Cylinder by FEM-BEM Method by : M. D. Deshpande
Download or read book Electromagnetic Scattering Analysis of Arbitrarily Shaped Material Cylinder by FEM-BEM Method written by M. D. Deshpande and published by . This book was released on 1996 with total page 38 pages. Available in PDF, EPUB and Kindle. Book excerpt: A hybrid method that combines the finite element method (FEM) and the boundary element method (BEM) is developed to analyze electromagnetic scattering from arbitrarily shaped material cylinders. By this method, the material cylinder is first enclosed by a fictitious boundary. Maxwell's equations are then solved by FEM inside and by BEM outside the boundary. Electromagnetic scattering from several arbitrarily shaped material cylinders is computed and compared with results obtained by other numerical techniques.
Book Synopsis IEEE Antennas and Propagation Society International Symposium by : IEEE Antennas and Propagation Society
Download or read book IEEE Antennas and Propagation Society International Symposium written by IEEE Antennas and Propagation Society and published by . This book was released on 1996 with total page 782 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Efficient Solution for Electromagnetic Scattering Using the Dual-surface Magnetic-field Integral Equation for Bodies of Revolution by : James L. Schmitz
Download or read book Efficient Solution for Electromagnetic Scattering Using the Dual-surface Magnetic-field Integral Equation for Bodies of Revolution written by James L. Schmitz and published by . This book was released on 1995 with total page 66 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Electromagnetic Scattering from a Cavity in a Ground Plane by : William D. Wood
Download or read book Electromagnetic Scattering from a Cavity in a Ground Plane written by William D. Wood and published by . This book was released on 1997-03-01 with total page 147 pages. Available in PDF, EPUB and Kindle. Book excerpt: The electromagnetic scattering from an arbitrarily shaped open cavity embedded in a perfectly conducting, infinite ground plane is examined. The cavity is filled with a linear, isotropic, homogeneous material. The fields in the cavity interior and above the ground plane are expressed in terms of the tangential fields on the cavity surface and aperture. A coupled set of three integral equations is developed governing the tangential fields on the aperture and cavity surface. The support of the unknown tangential fields is finite. A moment-method based algorithm to approximate the solution to the integral equations for axisymmetric geometries is developed. The unknown tangential fields are expanded using piecewise-linear functions in the elevation plane and complex exponentials in the azimuth plane. Orthogonality is exploited to reduce the size of the matrix. The algorithm yields a well-conditioned numerical solution. The solution obeys the edge condition at the aperture rim. The integral equations are uniquely solvable at frequencies where other integral equation-based techniques admit spurious solutions. Radar cross section calculations are compared to experimental measurements of full-scale physical models. Results show that an open cavity can serve as an effective radar cross section enhancement device.
Book Synopsis Time Domain Integral Equation-based Methods for Analyzing Electromagnetic Scattering from Objects Residing in Lossy Media by : Peilin Jiang
Download or read book Time Domain Integral Equation-based Methods for Analyzing Electromagnetic Scattering from Objects Residing in Lossy Media written by Peilin Jiang and published by ProQuest. This book was released on 2007 with total page 167 pages. Available in PDF, EPUB and Kindle. Book excerpt: This dissertation is concerned with the development of efficient time domain integral equation (TDIE)-based marching-on-in-time (MOT) schemes pertinent to transient analysis of electromagnetic scattering from objects residing in lossy media. Classical MOT schemes have a computational complexity scaling as O( N2sN2t ) and a memory requirement as O( N2sNt ), respectively. To alleviate the demands of computational resources, two techniques are proposed in this dissertation, viz., the Prony series-based recursive convolution scheme and the multilevel plane wave time domain (PWTD) algorithm. The former reduces the computational cost to O( N2sNt log Nt). The latter is the extension of the PWTD scheme for free space and is able to speed up the evaluation of fields radiated by band-limited and time-limited sources far enough away. When these two techniques are hybridized in the MOT scheme, i.e., the recursive convolution scheme evaluates the near-field interaction, and the multilevel PWTD algorithm evaluates the far-field interactions, the enhanced scheme has a computational complexity of O(NsNt log Ns(log Ns + log 2 Nt)) and a memory requirement of O(NsNt). As applications of the developed solver, the electromagnetic scattering from perfect electric conductors residing in lossy media and the light scattering from homogeneous and inhomogeneous biological cells are analyzed. The corresponding TDIEs are also formulated considering the particularities of application scenarios. Numerous numerical examples are presented to demonstrate the fast solver's efficacy and ability to solve realistic problems.
Book Synopsis Efficient Solution for Electromagnetic Scattering Using the Dual-surface Magnetic-field Integral Equation for Bodies of Revolution by : James L. Schmitz
Download or read book Efficient Solution for Electromagnetic Scattering Using the Dual-surface Magnetic-field Integral Equation for Bodies of Revolution written by James L. Schmitz and published by . This book was released on 1995 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Surface Integral Equation Method for Analyzing Electromagnetic Scattering in Layered Medium by : Yongpin Chen
Download or read book Surface Integral Equation Method for Analyzing Electromagnetic Scattering in Layered Medium written by Yongpin Chen and published by . This book was released on 2017-01-26 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: This dissertation, "Surface Integral Equation Method for Analyzing Electromagnetic Scattering in Layered Medium" by Yongpin, Chen, 陈涌频, was obtained from The University of Hong Kong (Pokfulam, Hong Kong) and is being sold pursuant to Creative Commons: Attribution 3.0 Hong Kong License. The content of this dissertation has not been altered in any way. We have altered the formatting in order to facilitate the ease of printing and reading of the dissertation. All rights not granted by the above license are retained by the author. Abstract: Surface integral equation (SIE) method with the kernel of layered medium Green's function (LMGF) is investigated in details from several fundamental aspects. A novel implementation of discrete complex image method (DCIM) is developed to accelerate the evaluation of Sommerfeld integrals and especially improve the far field accuracy of the conventional one. To achieve a broadband simulation of thin layered structure such as microstrip antennas, the mixed-form thin-stratified medium fast-multipole algorithm (MF-TSM-FMA) is developed by applying contour deformation and combining the multipole expansion and plane wave expansion into a single multilevel tree. The low frequency breakdown of the integral operator is further studied and remedied by using the loop-tree decomposition and the augmented electric field integral equation (A-EFIE), both in the context of layered medium integration kernel. All these methods are based on the EFIE for the perfect electric conductor (PEC) and hence can be applied in antenna and circuit applications. To model general dielectric or magnetic objects, the layered medium Green's function based on pilot vector potential approach is generalized for both electric and magnetic current sources. The matrix representation is further derived and the corresponding general SIE is setup. Finally, this SIE is accelerated with the DCIM and applied in quantum optics, such as the calculation of spontaneous emission enhancement of a quantum emitter embedded in a layered structure and in the presence of nano scatterers. DOI: 10.5353/th_b4775283 Subjects: Electromagnetic waves - Scattering - Mathematical models
Book Synopsis Scientific and Technical Aerospace Reports by :
Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1992 with total page 568 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Novel Surface-volume-surface Electric Field Integral Equations for Electromagnetic Analysis of 3-D Metal-dielectric Objects and H-matrix Strategies for Their Fast Direct Solution by : Reza Gholami
Download or read book Novel Surface-volume-surface Electric Field Integral Equations for Electromagnetic Analysis of 3-D Metal-dielectric Objects and H-matrix Strategies for Their Fast Direct Solution written by Reza Gholami and published by . This book was released on 2019 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The hierarchical (H)-matrix acceleration method plays important role in electromagnetic analysis of large-scale problems. This thesis is about fast direct solution of 3-D full-wave scattering and radiation problems with H-matrix acceleration of the method of moments (MoM) for the novel surface-volume-surface electric field integral equation (SVS-EFIE) and the Locally Corrected Nystrom (LCN) method for traditional magnetic field integral equation (MFIE). Two new formulations of the SVS-EFIE are proposed. First, new SVS-EFIE formulation is developed for the scattering and radiation problems on metal-dielectric composite objects with arbitrary number of regions situated in free space. Second, new SVS-EFIE formulation is developed for scattering and radiation problems on dielectric-dielectric composite objects situated in multilayered medium. The proposed SVS-EFIE formulations introduce independent surface electric current density on the boundary of each region. Thus, in the new formulations, the scatterer regions can be meshed independently according to their local material properties. This improves the flexibility and efficiency of the proposed formulations in the analysis of both multiscale and large-scale composite structures. An H-matrix based fast direct solution strategies are proposed for acceleration of the MoM solution of the new SVS-EFIE formulations. The method is largely insensitive to the poor conditioning of the MoM matrix equation. The required theory for applying H-matrices to the new formulations as well as the construction of the block H-matrices pertinent to MoM discretization of the composite SVS-EFIE is described in detail. Numerical validation shows that the proposed methods have a wide-range of applications and generate accurate results using only the small fraction of memory and total CPU time needed by conventional MoM solution of the SVS-EFIE. Fast error-controlled direct solution of the traditional integral equations for scattering problems on metal objects with H-matrices is also pioneered in this work. The proposed strategy for acceleration of the higher-order LCN method with H-matrices exhibits O(h^p) error behavior in the fast direct solution of the scattering problems on smooth metal objects with characteristic mesh elements size h and order of solution approximation p.
Book Synopsis International Aerospace Abstracts by :
Download or read book International Aerospace Abstracts written by and published by . This book was released on 1998 with total page 980 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Application of the Finite Integral Technique and the Measured Equation of Invariance to Electromagnetic Scattering Problems Involving Three-dimensional, Arbitrarily-shaped, Inhomogeneous Bodies by : John Hubert Henderson
Download or read book Application of the Finite Integral Technique and the Measured Equation of Invariance to Electromagnetic Scattering Problems Involving Three-dimensional, Arbitrarily-shaped, Inhomogeneous Bodies written by John Hubert Henderson and published by . This book was released on 1997 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt:
